About the Project
NIST

nonlinear

AdvancedHelp

(0.001 seconds)

1—10 of 32 matching pages

1: Peter A. Clarkson
2: Mark J. Ablowitz
Ablowitz is an applied mathematician who is interested in solutions of nonlinear wave equations. Certain nonlinear equations are special; e. …Some of the relationships between IST and Painlevé equations are discussed in two books: Solitons and the Inverse Scattering Transform and Solitons, Nonlinear Evolution Equations and Inverse Scattering. …
3: Bernard Deconinck
Deconinck is interested in nonlinear waves. He has worked on integrable systems, algorithms for computations with Riemann surfaces, Bose-Einstein condensates, and methods to investigate the stability of solutions of nonlinear wave equations. …
4: Sidebar 22.SB1: Decay of a Soliton in a Bose–Einstein Condensate
Jacobian elliptic functions arise as solutions to certain nonlinear Schrödinger equations, which model many types of wave propagation phenomena. …
5: Alexander A. Its
 Novokshënov), published by Springer in 1986, Algebro-geometric Approach to Nonlinear Integrable Problems (with E. …
6: Alexander I. Bobenko
7: 29.19 Physical Applications
Clarkson (1991) solves nonlinear evolution equations. …
8: 9.16 Physical Applications
Within classical physics, they appear prominently in physical optics, electromagnetism, radiative transfer, fluid mechanics, and nonlinear wave propagation. … Airy functions play a prominent role in problems defined by nonlinear wave equations. These first appeared in connection with the equation governing the evolution of long shallow water waves of permanent form, generally called solitons, and are predicted by the Korteweg–de Vries (KdV) equation (a third-order nonlinear partial differential equation). …
9: 23.21 Physical Applications
§23.21(ii) Nonlinear Evolution Equations
Airault et al. (1977) applies the function to an integrable classical many-body problem, and relates the solutions to nonlinear partial differential equations. …
10: 3.8 Nonlinear Equations
§3.8 Nonlinear Equations
where z is a real or complex variable and the function f is nonlinear. …
§3.8(vii) Systems of Nonlinear Equations
For fixed-point iterations and Newton’s method for solving systems of nonlinear equations, see Gautschi (1997a, Chapter 4, §9) and Ortega and Rheinboldt (1970). …